Home
Class 10
Maths
The radius of a sphere (in cm) whose vol...

The radius of a sphere (in cm) whose volume is 12`pi` `cm^3`, is
(A) 3
(B) 3 `sqrt(3)`
(C) `3^(2/3)`
(D) `3^(1/3)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the volume of a sphere whose radius is: 2cm (ii) 3.5cm (iii) 10.5 cm

Find the volume of a sphere whose diameter is: 14cm (ii) 3.5 dm (iii) 2.1 m

The radius of a sphere is 3 cm. Its total surface area will be : (1) 18pi cm^(2) (ii) 36 pi cm^(2) (iii) 72pi cm^(2) (iv) 108 pi cm^(2)

Find the volume of the sphere whose radius is : (a) 2 cm (b) 3 cm (c ) 1 cm

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r , then the volume of the cylinder is 4pi\ r^3 (b) 8/3pi\ r^3 (c) 2pi\ r^3 (d) 8pi\ r^3

Find the surface area of the sphere whose radius is : (a) 7 cm (b) 3.5 cm (c ) 1 cm

If slant height of a right circular cone is 3 cm then the maximum volume of cone is (a) 2sqrt(3) pi cm^(3) (b) 4sqrt(3) pi cm^(3) (c) (2+sqrt(3)) pi cm^(3) (d) (2-sqrt(3)) pi cm^(3)

If theta=pi/3, then the volume of pyramid is 1/(sqrt(3)) (b) 1/(3sqrt(2)) (c) 1/(2sqrt(3)) (d) 1/(sqrt(2))

A cone is made from a circular sheet of radius sqrt3 by cutting out a sector and giving the cut edges of the remaining piece together. The maximum volume attainable for the cone is (A) pi/3 (B) pi/6 (C) (2pi)/3 (D) 3sqrt(3)pi

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The volume of the triangular prism whose adjacent edges are represented by the vectors veca,vecb and vecc is (A) 12sqrt(12) (B) 12sqrt(3) (C) 16sqrt(2) (D) 16sqrt(3)